BLOCK II RELATIONS AND FUNCTIONS (Note: The schedule given below is tentative.) 
Lesson # 
Date(s) 
Section  Topic 
Homework Assignment 
19 
Feb. 26 
4.1 
Relations  Read Section 4.1, working all exercises along the way 
20 
Feb. 28 
4.2 
Orderings  Read Section 4.2, working all exercises
along the way and prepare the presentation of your assigned theorem:
Do problems #3, 7, 8, 9 at the end of Chapter 4, pp. 9699 (to be collected on Monday, March 19 at the beginning of class) 
21 
March 2 
4.2 
Orderings  Student Presentations  Write up the proofs of Lemma 4.2.25 and Theorem 4.2.26 (Due on Wednesday, March 21) 
*** MARCH 3  18 *** SPRING BREAK *** 

22 
March 19 
4.2 
Orderings  Problemsolving  see previous assignment 
23 
Mar. 21 
4.3 
Equivalence Relations  Read Section 4.3, pp. 7881, working all
exercises along the way, and prepare the presentation of your assigned
theorem: Group 3: Do Problem 4.3.14 and Prove Theorem 4.3.15 Groups 1&2: Prove Theorem 4.3.16 and Corollary 4.3.17 Presentations on Friday, March 23 Also do problems #14, 15, 16 at the end of Chapter 4, pp. 9699 (not to be collected) 
24 
Mar. 23 
4.3 
Equivalence Relations  Write up the proofs of Lemma 4.3.20 and Theorem 4.3.21 (to be collected on Wednesday, March 28) 
25 
Mar. 26 
4.3 
Problemsolving with Equivalence Relations  Read Section 5.1, working all exercises along the way 
26 
Mar. 28 
5.1 
The Basics of Functions 
Group 2: Prove Theorem 5.1.7 Do problems #1, 3, 4 at the end of Chapter 5, pp. 130131 (to be collected on Wed. April 4) 
27 
Mar. 30 
5.1 
The Basics of Functions  Be prepared to present Exercises 5.1.14 and 5.1.15 on Mon. April 2. 
28 
Apr. 2 
5.1

The Basics of Functions

Read Section 5.2, working all exercises along the way Writeup the proofs of Theorem 5.2.9 (Part II only) and Theorem 5.2.10 (to be collected on Friday, April 6This assignment must be LaTeXed.) Read Section 5.3, working all exercises along the way 
29 
Apr. 4 
5.2 
Compositions and Inverses  Group 1: Present Problem 5.2.4,
#1 and #2 Group 2: Present Problem 5.2.4, #3 and #4 Group 3: Present Theorem 5.2.9, Part I, #1 and #2 Presentations on Friday, April 6 Do problems #5, 6, 7 at the end of Chapter 5, pp. 131132 (not to be collected) 
30 
Apr. 6 
5.2 
Compositions and Inverses  Read Section 5.3, working all exercises along the way 
31 
Apr. 9 
5.3 
Images and Inverse Images  Work on problems #9, 15, 16 at the end of Chapter 5, pp. 132133  on Wednesday students will present their progress on these problems (starting with 9ab and 15). 
32 
Apr. 11 
5.3 
Problemsolving with Images and Inverse Images  Reading quiz next lesson covering Section 7.1; We will present the theorems in class. 
33 
Apr. 13 
7.1 
Galileo's Paradox  
34 
Apr. 16 
7.2 
Infinite Sets  
35 
Apr. 18 
EXAM II (inclass)  Takehome portion of Exam II distributed  Due on Mon., Apr. 23 
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